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import matplotlib.pyplot as plt | ||
from random import random | ||
import timeit | ||
import cProfile | ||
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def bubble(unordered): | ||
"""Bubble sort | ||
Takes an iterable and returns a list""" | ||
#compar = 0 | ||
sorting=list(unordered) | ||
for i in range(len(sorting)): | ||
swapped=False | ||
for j in range(len(sorting)-1-i): | ||
if sorting[j]>sorting[j+1]: | ||
sorting[j],sorting[j+1]=sorting[j+1],sorting[j] | ||
swapped=True | ||
#compar+=1 | ||
if (not swapped):break | ||
#print("bubble= ",#compar) | ||
return sorting | ||
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def insertion(unordered): | ||
"""insertion sort | ||
Takes an iterable and returns a list""" | ||
#compar = 0 | ||
sorting=list(unordered) | ||
for i in range(len(sorting)): | ||
temp = sorting[i] | ||
j = i-1 | ||
while (j >= 0 and sorting[j]>temp): | ||
sorting[j+1]=sorting[j] | ||
j -= 1 | ||
#compar += 1 | ||
sorting[j+1]=temp | ||
#print("insertion= {} #comparaciones",compar) | ||
return sorting | ||
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def selection(unordered): | ||
"""selection sort | ||
Takes an iterable and returns a list""" | ||
#compar = 0 | ||
sorting=list(unordered) | ||
for i in range(len(sorting)): | ||
temp = sorting[i] | ||
pos = i | ||
for j in range(i,len(sorting)): | ||
if (temp > sorting[j]): | ||
temp = sorting[j] | ||
pos = j | ||
#compar +=1 | ||
sorting[pos] = sorting[i] | ||
sorting[i] = temp | ||
#print("selection= {} #comparaciones",compar) | ||
return sorting | ||
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def mergesort(sorting): | ||
"""merge sort""" | ||
def merge(list1, list2) : | ||
size1, size2 = len(list1), len(list2) | ||
psorting=[] | ||
j, k=0, 0 | ||
for i in range(size1*2): | ||
if (list1[j] > list2[k]): | ||
psorting.append(list2[k]) | ||
k += 1 | ||
if (k==size2): | ||
psorting.extend(list1[j:]) | ||
j = -1 | ||
break | ||
else: | ||
psorting.append(list1[j]) | ||
j += 1 | ||
if (j==size1): | ||
psorting.extend(list2[k:]) | ||
k = -1 | ||
break | ||
if(j == size1-1):psorting.append(list1[j]) | ||
if(k == size2-1):psorting.append(list2[k]) | ||
return psorting | ||
size =len(sorting) | ||
if (size >1): | ||
return merge(mergesort(sorting[:size//2]),mergesort(sorting[size//2:])) | ||
else: | ||
return sorting | ||
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def quicksort(unordered): | ||
def qsort(sorting, left, right): | ||
if (right - left < 1): return | ||
pivot = (sorting[left] + sorting[right])/2 | ||
i, j=left, right | ||
while(True): | ||
while(sorting[i] <= pivot): i += 1 | ||
while(sorting[j] > pivot): j -= 1 | ||
if (i<j): | ||
sorting[i], sorting[j] = sorting[j], sorting[i] | ||
else: | ||
qsort(sorting, left, j) | ||
qsort(sorting, i, right) | ||
break | ||
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sorting = list(unordered) | ||
left, right = 0, len(sorting)-1 | ||
qsort(sorting, left, right) | ||
return sorting | ||
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def performance(functions,valueslist,plot=True): | ||
times = [[] for function in functions] | ||
timers = [timeit.Timer(lambda : functions[i](test)) for i,val in enumerate(functions)] | ||
for j in valueslist: | ||
test = [random() for val in range(j)] | ||
#test = sorted(test) | ||
for i, val in enumerate(functions): | ||
times[i].append(min(timers[i].repeat(3,1))) | ||
print("longest list\nfunction items secs") | ||
for i,function in enumerate(functions): | ||
print(function.__name__,valueslist[-1],times[i][-1]) | ||
style = ['r*-','b*-','g*-','y*-','c*-','m*-','k*-'] | ||
lines=[plt.loglog(valueslist,times[i],style[i % 8]) for i,val in enumerate(functions)] | ||
plt.plot([0,0],[0,times[0][-1]],[0,valueslist[-1]],[0,0]) #axis | ||
plt.figlegend(lines,[function.__name__ for function in functions],'upper right') | ||
if (plot): plt.show() | ||
#cProfile.run('sorted(test)') | ||
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def ftest(test,testprint=False): | ||
#print(bubble(test) == sorted(test)) | ||
#print(insertion(test) == sorted(test)) | ||
#print(selection(test) == sorted(test)) | ||
#print(mergesort(test) == sorted(test)) | ||
print(quicksort(test) == sorted(test)) | ||
if (testprint) : print(quicksort(test));print(sorted(test)) | ||
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test = [random() for val in range(1000)] | ||
test = sorted( test) | ||
ftest([3,5,2,1,7]) | ||
ftest([5]) | ||
ftest(test) | ||
performance([quicksort, mergesort, sorted],[2**x for x in range(5,17)]) |